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In a random sample of males, it was found that 24 write with their left hands and 211 do not. In a random sample of females, it was found that 68 write with their left hands and 468 do not. Use a 0.01 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below. Consider the first sample to be the sample of males and the second sample to be the sample of females. What are the null and alternative hypotheses for the hypothesis test? O C. Ho: P1 2 P2 A. HO: P1 = P2 O B. Ho: P1 = P2 H1: P1 # P2 H1: P1 > P2 H1: P1 H2 The test statistic, t, is (Round to two decimal places as needed.)The P-value is 0.079 . (Round to three decimal places as needed.) State the conclusion for the test. O A. Fail to reject Ho. There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. O B. Reject Ho. There is not sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. C. Fail to reject Ho. There is not sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. O D. Reject Ho. There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. b. Construct a confidence interval suitable for testing the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. H1 - H2 " (Round to two decimal places as needed.)